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Finding the Third Proportional to 9,538.88 and 14,592.38

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Solution

The third proportional to 9,538.88 and 14,592.38 is: 22,323.12

Step by Step Solution

  1. Step 1: Write the proportion equation
    9,538.88 : 14,592.38 = 14,592.38 : x
  2. Step 2: Convert to fraction form
    9,538.88/14,592.38 = 14,592.38/x
  3. Step 3: Cross multiply
    9,538.88x = 14,592.38 × 14,592.38
  4. Step 4: Simplify right side
    9,538.88x = 212,937,408.14
  5. Step 5: Solve for x
    x = 212,937,408.14/9,538.88
  6. Step 6: Final answer
    x = 22,323.12

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Why These Related Problems?

These problems maintain the same ratio (1.53) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.